# Wrapped $$M2/M5$$ Duality

 Title: Wrapped $$M2/M5$$ Duality Author: Guica, Monica; Strominger, Andrew E. Note: Order does not necessarily reflect citation order of authors. Citation: Guica, Monica, and Andrew E. Strominger. 2009. Wrapped $$M2/M5$$ duality. Journal of High Energy Physics 2009(10): 36. Full Text & Related Files: 0701011v1.pdf (132.2Kb; PDF) Abstract: A microscopic accounting of the entropy of a generic 5D supersymmetric rotating black hole, arising from wrapped $$M2$$-branes in Calabi-Yau compactified $$M$$-theory, is an outstanding unsolved problem. In this paper we consider an expansion around the zero-entropy, zero-temperature, maximally rotating ground state for which the angular momentum $$J_L$$ and graviphoton charge $$Q$$ are related by $${J_L}^2 = Q^3$$. At $$J_L = 0$$ the near horizon geometry is $$AdS_2 × S^3$$. As $${J_L}^2 → Q^3$$ it becomes a singular quotient of $$AdS_3 × S^2$$: more precisely, a quotient of the near horizon geometry of an $$M5$$ wrapped on a 4-cycle whose self-intersection is the 2-cycle associated to the wrapped-$$M2$$ black hole. The singularity of the $$AdS_3$$ quotient is identified as the usual one associated to the zero-temperature limit, suggesting that the (0,4) wrapped-$$M5$$ CFT is dual near maximality to the wrapped-$$M2$$ black hole. As evidence for this, the microscopic (0,4) CFT entropy and the macroscopic rotating black hole entropy are found to agree to leading order away from maximality. Published Version: doi:10.1088/1126-6708/2009/10/036 Other Sources: http://arxiv.org/abs/hep-th/0701011 Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:8156532 Downloads of this work: